The IMEI number on the phone is essentially locked to the device, swapping sims won’t change it. So a phone activated under your real name on one network could technically get traced back to you even when using a different SIM card.
Also, carrying a phone with both SIMs active is completely unprotected from correlation attacks by anyone with access to the cell tower data. It’d be blatantly obvious that the location of one SIM is the same as the other all the time.
All depends on the threat level you expect, but if you’re worried about a VOIP account being compromised to get your real number, you are talking about pretty sophisticated actors.
Lol the airline industry has some pretty good terms, my personal favorite is “wet lease”.